21 Sections
501 Lessons
32 Weeks

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Sample Content
Sample Notes, Videos, Quizzes, Cheat Sheets, Assignments and Much More For Pre-Purchase Consideration.
20
- 1.1
  Sample Notes + Written Material For Contents of The Syllabus: Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 1.2
  Sample Notes + Written Material For Contents of The Syllabus: Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 1.3
  Sample Video Lectures For The Content: Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 1.4
  Sample Video Lectures For The Content: Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 1.5
  Sample Quizzes For Preparation: Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 1.6
  Sample Quizzes For Preparation: Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 1.7
  Sample Cheat Sheets: Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 1.8
  Sample Cheat Sheets: Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 1.9
  Sample Practice Questions/ Practice Exams: Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 1.10
  Sample Practice Questions/ Practice Exams: Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 1.11
  Sample Extra Section Formulae Sheet: Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 1.12
  Sample Extra Section Formulae Sheet: Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 1.13
  Sample Paper Pattern/ Paper Preparation/ Techniques To Attempt The Paper/ Common Mistakes To Avoid:
- 1.14
  Sample Paper Pattern/ Paper Preparation/ Techniques To Attempt The Paper/ Common Mistakes To Avoid:
- 1.15
  Sample Mock Exam:
- 1.16
  Sample Mock Exam:
- 1.17
  Sample Solved Past Paper:
- 1.18
  Sample Solved Past Paper:
- 1.19
  Sample Past Paper Session:
- 1.20
  Sample Past Paper Session:
Course Related Information
Important Information Related To The Courses, Live Classes, Zoom Links etc.
3
- 2.1
  Schedule For Live Classes
  9 Minutes
- 2.2
  Zoom Details
- 2.3
  Course Breakup
Notes + Written Material For Contents of The Syllabus
Notes for Chapters + Written Resources Regarding The Content
56
- 3.1
  Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 3.2
  Quadratics: Find The Discriminant Of A Quadratic Polynomial ax² + bx + c And Use The Discriminant
- 3.3
  Quadratics: Solve Quadratic Equations, And Quadratic Inequalities, In One Unknown
- 3.4
  Quadratics: Solve By Substitution A Pair Of Simultaneous Equations Of Which One Is Linear And One Is Quadratic
- 3.5
  Quadratics: Recognise And Solve Equations In x Which Are Quadratic In Some Function Of x
- 3.6
  Functions: Understand The Terms Function, Domain, Range, One-One Function, Inverse Function And Composition Of Functions
- 3.7
  Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 3.8
  Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 3.9
  Functions: Illustrate In Graphical Terms The Relation Between A One-One Function And Its Inverse
- 3.10
  Functions: Understand And Use The Transformations Of The Graph Of y = f(x) Given By y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) And Simple Combinations Of These
- 3.11
  Coordinate Geometry: Find The Equation Of A Straight Line Given Sufficient Information
- 3.12
  Coordinate Geometry: Interpret And Use Any Of The Forms y = mx + c, y – y₁ = m(x – x₁), ax + by + c = 0 In Solving Problems
- 3.13
  Coordinate Geometry: Understand That The Equation (x – a)² + (y – b)² = r² Represents The Circle With Centre (a, b) And Radius r
- 3.14
  Coordinate Geometry: Use Algebraic Methods To Solve Problems Involving Lines And Circles
- 3.15
  Coordinate Geometry: Understand The Relationship Between A Graph And Its Associated Algebraic Equation, And Use The Relationship Between Points Of Intersection Of Graphs And Solutions Of Equations
- 3.16
  Circular Measure: Understand The Definition Of A Radian, And Use The Relationship Between Radians And Degrees
- 3.17
  Circular Measure: Use The Formulae s = rθ And A = ½r²θ In Solving Problems Concerning The Arc Length And Sector Area Of A Circle
- 3.18
  Trigonometry: Sketch And Use Graphs Of The Sine, Cosine And Tangent Functions (For Angles Of Any Size, And Using Either Degrees Or Radians)
- 3.19
  Trigonometry: Use The Exact Values Of The Sine, Cosine And Tangent Of 30°, 45°, 60°, And Related Angles
- 3.20
  Trigonometry: Use The Notations sin⁻¹x, cos⁻¹x, tan⁻¹x To Denote The Principal Values Of The Inverse Trigonometric Relations
- 3.21
  Trigonometry: Use The Identities tanθ = sinθ / cosθ, sin²θ + cos²θ = 1
- 3.22
  Trigonometry: Find All The Solutions Of Simple Trigonometrical Equations Lying In A Specified Interval
- 3.23
  Series: Use The Expansion Of (a + b)ⁿ, Where n Is A Positive Integer
- 3.24
  Series: Recognise Arithmetic And Geometric Progressions
- 3.25
  Series: Use The Formulae For The nᵗʰ Term And For The Sum Of The First n Terms To Solve Problems Involving Arithmetic Or Geometric Progressions
- 3.26
  Series: Use The Condition For The Convergence Of A Geometric Progression, And The Formula For The Sum To Infinity Of A Convergent Geometric Progression
- 3.27
  Differentiation: Understand The Gradient Of A Curve At A Point As The Limit Of The Gradients Of A Suitable Sequence Of Chords, And Use The Notations f′(x), f″(x), dy/dx, d²y/dx² For First And Second Derivatives
- 3.28
  Differentiation: Use The Derivative Of xⁿ (For Any Rational n), Together With Constant Multiples, Sums And Differences Of Functions, And Of Composite Functions Using The Chain Rule
- 3.29
  Differentiation: Apply Differentiation To Gradients, Tangents And Normals, Increasing And Decreasing Functions And Rates Of Change
- 3.30
  Differentiation: Locate Stationary Points And Determine Their Nature, And Use Information About Stationary Points In Sketching Graphs
- 3.31
  Integration: Understand Integration As The Reverse Process Of Differentiation, And Integrate (ax + b)ⁿ (For Any Rational n Except –1), Together With Constant Multiples, Sums And Differences
- 3.32
  Integration: Solve Problems Involving The Evaluation Of A Constant Of Integration
- 3.33
  Integration: Evaluate Definite Integrals
- 3.34
  Integration: Use Definite Integration To Find
- 3.35
  Forces And Equilibrium: Identify The Forces Acting In A Given Situation
- 3.36
  Forces And Equilibrium: Understand The Vector Nature Of Force, And Find And Use Components And Resultants
- 3.37
  Forces And Equilibrium: Use The Principle That, When A Particle Is In Equilibrium, The Vector Sum Of The Forces Acting Is Zero, Or Equivalently, That The Sum Of The Components In Any Direction Is Zero
- 3.38
  Forces And Equilibrium: Understand That A Contact Force Between Two Surfaces Can Be Represented By Two Components, The Normal Component And The Frictional Component
- 3.39
  Forces And Equilibrium: Use The Model Of A ‘Smooth’ Contact, And Understand The Limitations Of This Model
- 3.40
  Forces And Equilibrium: Understand The Concepts Of Limiting Friction And Limiting Equilibrium, Recall The Definition Of Coefficient Of Friction, And Use The Relationship F = μR Or F ≤ μR, As Appropriate
- 3.41
  Forces And Equilibrium: Use Newton’s Third Law
- 3.42
  Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 3.43
  Kinematics Of Motion In A Straight Line: Sketch And Interpret Displacement–Time Graphs And Velocity–Time Graphs, And In Particular Appreciate
- 3.44
  Kinematics Of Motion In A Straight Line: Use Differentiation And Integration With Respect To Time To Solve Simple Problems Concerning Displacement, Velocity And Acceleration
- 3.45
  Kinematics Of Motion In A Straight Line: Use Appropriate Formulae For Motion With Constant Acceleration In A Straight Line
- 3.46
  Momentum: Use The Definition Of Linear Momentum And Show Understanding Of Its Vector Nature
- 3.47
  Momentum: Use Conservation Of Linear Momentum To Solve Problems That May Be Modelled As The Direct Impact Of Two Bodies
- 3.48
  Newton’s Laws Of Motion: Apply Newton’s Laws Of Motion To The Linear Motion Of A Particle Of Constant Mass Moving Under The Action Of Constant Forces, Which May Include Friction, Tension In An Inextensible String And Thrust In A Connecting Rod
- 3.49
  Newton’s Laws Of Motion: Use The Relationship Between Mass And Weight W = mg
- 3.50
  Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of A Particle Moving Vertically Or On An Inclined Plane With Constant Acceleration
- 3.51
  Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of Connected Particles
- 3.52
  Energy, Work And Power: Understand The Concept Of The Work Done By A Force, And Calculate The Work Done By A Constant Force When Its Point Of Application Undergoes A Displacement Not Necessarily Parallel To The Force
- 3.53
  Energy, Work And Power: Understand The Concepts Of Gravitational Potential Energy And Kinetic Energy, And Use Appropriate Formulae
- 3.54
  Energy, Work And Power: Understand And Use The Relationship Between The Change In Energy Of A System And The Work Done By The External Forces, And Use In Appropriate Cases The Principle Of Conservation Of Energy
- 3.55
  Energy, Work And Power: Use The Definition Of Power As The Rate At Which A Force Does Work, And Use The Relationship Between Power, Force And Velocity For A Force Acting In The Direction Of Motion
- 3.56
  Energy, Work And Power: Solve Problems Involving, For Example, The Instantaneous Acceleration Of A Car Moving On A Hill Against A Resistance
Video Lectures For The Content
Video Lectures Covering Course Content In Detail
13
- 4.1
  Quadratics
- 4.2
  Functions
- 4.3
  Coordinate Geometry
- 4.4
  Circular Measure
- 4.5
  Trigonometry
- 4.6
  Series
- 4.7
  Differentiation
- 4.8
  Integration
- 4.9
  Forces And Equilibrium
- 4.10
  Kinematics of Motion In A Straight Line
- 4.11
  Momentum
- 4.12
  Newton’s Laws of Motion
- 4.13
  Energy, Work And Power
Quizzes
Short Quizzes To Auto-Test Your Knowledge of The Syllabus
14
- 5.1
  Quadratics
  10 Minutes0 Questions
- 5.2
  Functions
  10 Minutes0 Questions
- 5.3
  Coordinate Geometry
  10 Minutes0 Questions
- 5.4
  Circular Measure
  10 Minutes0 Questions
- 5.5
  Trigonometry
  10 Minutes0 Questions
- 5.6
  Series
  10 Minutes0 Questions
- 5.7
  Differentiation
  10 Minutes0 Questions
- 5.8
  Integration
  10 Minutes0 Questions
- 5.9
  Forces And Equilibrium
  10 Minutes0 Questions
- 5.10
  Kinematics of Motion In A Straight Line
  10 Minutes0 Questions
- 5.11
  Momentum
  10 Minutes0 Questions
- 5.12
  Newton’s Laws of Motion
  10 Minutes0 Questions
- 5.13
  Energy, Work And Power
  10 Minutes0 Questions
- 5.14
  Quadratics
Quizzes For Preparation
Quizzes With Detailed Explained Answers And Common Mistakes Discussed In Detail
56
- 6.1
  Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 6.2
  Quadratics: Find The Discriminant Of A Quadratic Polynomial ax² + bx + c And Use The Discriminant
- 6.3
  Quadratics: Solve Quadratic Equations, And Quadratic Inequalities, In One Unknown
- 6.4
  Quadratics: Solve By Substitution A Pair Of Simultaneous Equations Of Which One Is Linear And One Is Quadratic
- 6.5
  Quadratics: Recognise And Solve Equations In x Which Are Quadratic In Some Function Of x
- 6.6
  Functions: Understand The Terms Function, Domain, Range, One-One Function, Inverse Function And Composition Of Functions
- 6.7
  Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 6.8
  Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 6.9
  Functions: Illustrate In Graphical Terms The Relation Between A One-One Function And Its Inverse
- 6.10
  Functions: Understand And Use The Transformations Of The Graph Of y = f(x) Given By y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) And Simple Combinations Of These
- 6.11
  Coordinate Geometry: Find The Equation Of A Straight Line Given Sufficient Information
- 6.12
  Coordinate Geometry: Interpret And Use Any Of The Forms y = mx + c, y – y₁ = m(x – x₁), ax + by + c = 0 In Solving Problems
- 6.13
  Coordinate Geometry: Understand That The Equation (x – a)² + (y – b)² = r² Represents The Circle With Centre (a, b) And Radius r
- 6.14
  Coordinate Geometry: Use Algebraic Methods To Solve Problems Involving Lines And Circles
- 6.15
  Coordinate Geometry: Understand The Relationship Between A Graph And Its Associated Algebraic Equation, And Use The Relationship Between Points Of Intersection Of Graphs And Solutions Of Equations
- 6.16
  Circular Measure: Understand The Definition Of A Radian, And Use The Relationship Between Radians And Degrees
- 6.17
  Circular Measure: Use The Formulae s = rθ And A = ½r²θ In Solving Problems Concerning The Arc Length And Sector Area Of A Circle
- 6.18
  Trigonometry: Sketch And Use Graphs Of The Sine, Cosine And Tangent Functions (For Angles Of Any Size, And Using Either Degrees Or Radians)
- 6.19
  Trigonometry: Use The Exact Values Of The Sine, Cosine And Tangent Of 30°, 45°, 60°, And Related Angles
- 6.20
  Trigonometry: Use The Notations sin⁻¹x, cos⁻¹x, tan⁻¹x To Denote The Principal Values Of The Inverse Trigonometric Relations
- 6.21
  Trigonometry: Use The Identities tanθ = sinθ / cosθ, sin²θ + cos²θ = 1
- 6.22
  Trigonometry: Find All The Solutions Of Simple Trigonometrical Equations Lying In A Specified Interval
- 6.23
  Series: Use The Expansion Of (a + b)ⁿ, Where n Is A Positive Integer
- 6.24
  Series: Recognise Arithmetic And Geometric Progressions
- 6.25
  Series: Use The Formulae For The nᵗʰ Term And For The Sum Of The First n Terms To Solve Problems Involving Arithmetic Or Geometric Progressions
- 6.26
  Series: Use The Condition For The Convergence Of A Geometric Progression, And The Formula For The Sum To Infinity Of A Convergent Geometric Progression
- 6.27
  Differentiation: Understand The Gradient Of A Curve At A Point As The Limit Of The Gradients Of A Suitable Sequence Of Chords, And Use The Notations f′(x), f″(x), dy/dx, d²y/dx² For First And Second Derivatives
- 6.28
  Differentiation: Use The Derivative Of xⁿ (For Any Rational n), Together With Constant Multiples, Sums And Differences Of Functions, And Of Composite Functions Using The Chain Rule
- 6.29
  Differentiation: Apply Differentiation To Gradients, Tangents And Normals, Increasing And Decreasing Functions And Rates Of Change
- 6.30
  Differentiation: Locate Stationary Points And Determine Their Nature, And Use Information About Stationary Points In Sketching Graphs
- 6.31
  Integration: Understand Integration As The Reverse Process Of Differentiation, And Integrate (ax + b)ⁿ (For Any Rational n Except –1), Together With Constant Multiples, Sums And Differences
- 6.32
  Integration: Solve Problems Involving The Evaluation Of A Constant Of Integration
- 6.33
  Integration: Evaluate Definite Integrals
- 6.34
  Integration: Use Definite Integration To Find
- 6.35
  Forces And Equilibrium: Identify The Forces Acting In A Given Situation
- 6.36
  Forces And Equilibrium: Understand The Vector Nature Of Force, And Find And Use Components And Resultants
- 6.37
  Forces And Equilibrium: Use The Principle That, When A Particle Is In Equilibrium, The Vector Sum Of The Forces Acting Is Zero, Or Equivalently, That The Sum Of The Components In Any Direction Is Zero
- 6.38
  Forces And Equilibrium: Understand That A Contact Force Between Two Surfaces Can Be Represented By Two Components, The Normal Component And The Frictional Component
- 6.39
  Forces And Equilibrium: Use The Model Of A ‘Smooth’ Contact, And Understand The Limitations Of This Model
- 6.40
  Forces And Equilibrium: Understand The Concepts Of Limiting Friction And Limiting Equilibrium, Recall The Definition Of Coefficient Of Friction, And Use The Relationship F = μR Or F ≤ μR, As Appropriate
- 6.41
  Forces And Equilibrium: Use Newton’s Third Law
- 6.42
  Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 6.43
  Kinematics Of Motion In A Straight Line: Sketch And Interpret Displacement–Time Graphs And Velocity–Time Graphs, And In Particular Appreciate
- 6.44
  Kinematics Of Motion In A Straight Line: Use Differentiation And Integration With Respect To Time To Solve Simple Problems Concerning Displacement, Velocity And Acceleration
- 6.45
  Kinematics Of Motion In A Straight Line: Use Appropriate Formulae For Motion With Constant Acceleration In A Straight Line
- 6.46
  Momentum: Use The Definition Of Linear Momentum And Show Understanding Of Its Vector Nature
- 6.47
  Momentum: Use Conservation Of Linear Momentum To Solve Problems That May Be Modelled As The Direct Impact Of Two Bodies
- 6.48
  Newton’s Laws Of Motion: Apply Newton’s Laws Of Motion To The Linear Motion Of A Particle Of Constant Mass Moving Under The Action Of Constant Forces, Which May Include Friction, Tension In An Inextensible String And Thrust In A Connecting Rod
- 6.49
  Newton’s Laws Of Motion: Use The Relationship Between Mass And Weight W = mg
- 6.50
  Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of A Particle Moving Vertically Or On An Inclined Plane With Constant Acceleration
- 6.51
  Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of Connected Particles
- 6.52
  Energy, Work And Power: Understand The Concept Of The Work Done By A Force, And Calculate The Work Done By A Constant Force When Its Point Of Application Undergoes A Displacement Not Necessarily Parallel To The Force
- 6.53
  Energy, Work And Power: Understand The Concepts Of Gravitational Potential Energy And Kinetic Energy, And Use Appropriate Formulae
- 6.54
  Energy, Work And Power: Understand And Use The Relationship Between The Change In Energy Of A System And The Work Done By The External Forces, And Use In Appropriate Cases The Principle Of Conservation Of Energy
- 6.55
  Energy, Work And Power: Use The Definition Of Power As The Rate At Which A Force Does Work, And Use The Relationship Between Power, Force And Velocity For A Force Acting In The Direction Of Motion
- 6.56
  Energy, Work And Power: Solve Problems Involving, For Example, The Instantaneous Acceleration Of A Car Moving On A Hill Against A Resistance
Assignments
Detailed Assignments For Syllabus Preparation (Including Past Paper Questions)
26
- 7.1
  Quadratics
  3 Days
- 7.2
  Functions
  3 Days
- 7.3
  Coordinate Geometry
  3 Days
- 7.4
  Circular Measure
  3 Days
- 7.5
  Trigonometry
  3 Days
- 7.6
  Series
  3 Days
- 7.7
  Differentiation
  3 Days
- 7.8
  Integration
  3 Days
- 7.9
  Forces And Equilibrium
  3 Days
- 7.10
  Kinematics of Motion In A Straight Line
  3 Days
- 7.11
  Momentum
  3 Days
- 7.12
  Newton’s Laws of Motion
  3 Days
- 7.13
  Energy, Work And Power
  3 Days
- 7.14
  Quadratics
- 7.15
  Functions
- 7.16
  Coordinate Geometry
- 7.17
  Circular Measure
- 7.18
  Trigonometry
- 7.19
  Series
- 7.20
  Differentiation
- 7.21
  Integration
- 7.22
  Forces and Equilibrium
- 7.23
  Kinematics of Motion In A Straight Line
- 7.24
  Momentum
- 7.25
  Newton’s Laws of Motion
- 7.26
  Energy, Work and Power
Paper Pattern/ Paper Preparation/ Techniques To Attempt The Paper/ Common Mistakes To Avoid
Detailed Information Including Written + Video Material Regarding Paper Attempt / Preparation/ Techniques/ Common Mistakes To Avoid
0
Solved Past Papers
Detailed Written Explanations And Solutions of Past Papers, Including Model Answers and Explanations For Past Paper Questions
84
- 9.1
  May June 2020 Paper 11
- 9.2
  May June 2020 Paper 12
- 9.3
  May June 2020 Paper 13
- 9.4
  May June 2020 Paper 41
- 9.5
  May June 2020 Paper 42
- 9.6
  May June 2020 Paper 43
- 9.7
  Feb March 2020 Paper 12
- 9.8
  Feb March 2020 Paper 42
- 9.9
  October November 2020 Paper 11
- 9.10
  October November 2020 Paper 12
- 9.11
  October November 2020 Paper 13
- 9.12
  October November 2020 Paper 41
- 9.13
  October November 2020 Paper 42
- 9.14
  October November 2020 Paper 43
- 9.15
  May June 2021 Paper 11
- 9.16
  May June 2021 Paper 12
- 9.17
  May June 2021 Paper 13
- 9.18
  May June 2021 Paper 41
- 9.19
  May June 2021 Paper 42
- 9.20
  May June 2021 Paper 43
- 9.21
  Feb March 2021 Paper 12
- 9.22
  Feb March 2021 Paper 42
- 9.23
  October November 2021 Paper 11
- 9.24
  October November 2021 Paper 12
- 9.25
  October November 2021 Paper 13
- 9.26
  October November 2021 Paper 41
- 9.27
  October November 2021 Paper 42
- 9.28
  October November 2021 Paper 43
- 9.29
  May June 2022 Paper 11
- 9.30
  May June 2022 Paper 12
- 9.31
  May June 2022 Paper 13
- 9.32
  May June 2022 Paper 41
- 9.33
  May June 2022 Paper 42
- 9.34
  May June 2022 Paper 43
- 9.35
  Feb March 2022 Paper 12
- 9.36
  Feb March 2022 Paper 42
- 9.37
  October November 2022 Paper 11
- 9.38
  October November 2022 Paper 12
- 9.39
  October November 2022 Paper 13
- 9.40
  October November 2022 Paper 41
- 9.41
  October November 2022 Paper 42
- 9.42
  October November 2022 Paper 43
- 9.43
  May June 2023 Paper 11
- 9.44
  May June 2023 Paper 12
- 9.45
  May June 2023 Paper 13
- 9.46
  May June 2023 Paper 41
- 9.47
  May June 2023 Paper 42
- 9.48
  May June 2023 Paper 43
- 9.49
  Feb March 2023 Paper 12
- 9.50
  Feb March 2023 Paper 22
- 9.51
  October November 2023 Paper 11
- 9.52
  October November 2023 Paper 12
- 9.53
  October November 2023 Paper 13
- 9.54
  October November 2023 Paper 41
- 9.55
  October November 2023 Paper 42
- 9.56
  October November 2023 Paper 43
- 9.57
  May June 2024 Paper 11
- 9.58
  May June 2024 Paper 12
- 9.59
  May June 2024 Paper 13
- 9.60
  May June 2024 Paper 41
- 9.61
  May June 2024 Paper 42
- 9.62
  May June 2024 Paper 43
- 9.63
  Feb March 2024 Paper 12
- 9.64
  Feb March 2024 Paper 42
- 9.65
  October November 2024 Paper 11
- 9.66
  October November 2024 Paper 12
- 9.67
  October November 2024 Paper 13
- 9.68
  October November 2024 Paper 41
- 9.69
  October November 2024 Paper 42
- 9.70
  October November 2024 Paper 43
- 9.71
  May June 2025 Paper 11
- 9.72
  May June 2025 Paper 12
- 9.73
  May June 2025 Paper 13
- 9.74
  May June 2025 Paper 41
- 9.75
  May June 2025 Paper 42
- 9.76
  May June 2025 Paper 43
- 9.77
  Feb March 2025 Paper 12
- 9.78
  Feb March 2025 Paper 22
- 9.79
  October November 2025 Paper 11
- 9.80
  October November 2025 Paper 12
- 9.81
  October November 2025 Paper 13
- 9.82
  October November 2025 Paper 41
- 9.83
  October November 2025 Paper 42
- 9.84
  October November 2025 Paper 43
Past Paper Sessions
Video Content Regarding Past Paper Solutions
84
- 10.1
  May June 2020 Paper 11
- 10.2
  May June 2020 Paper 12
- 10.3
  May June 2020 Paper 13
- 10.4
  May June 2020 Paper 21
- 10.5
  May June 2020 Paper 22
- 10.6
  May June 2020 Paper 23
- 10.7
  Feb March 2020 Paper 12
- 10.8
  Feb March 2020 Paper 22
- 10.9
  October November 2020 Paper 11
- 10.10
  October November 2020 Paper 12
- 10.11
  October November 2020 Paper 13
- 10.12
  October November 2020 Paper 21
- 10.13
  October November 2020 Paper 22
- 10.14
  October November 2020 Paper 23
- 10.15
  May June 2021 Paper 11
- 10.16
  May June 2021 Paper 12
- 10.17
  May June 2021 Paper 13
- 10.18
  May June 2021 Paper 41
- 10.19
  May June 2021 Paper 42
- 10.20
  May June 2021 Paper 43
- 10.21
  Feb March 2021 Paper 12
- 10.22
  Feb March 2021 Paper 42
- 10.23
  October November 2021 Paper 11
- 10.24
  October November 2021 Paper 12
- 10.25
  October November 2021 Paper 13
- 10.26
  October November 2021 Paper 41
- 10.27
  October November 2021 Paper 42
- 10.28
  October November 2021 Paper 43
- 10.29
  May June 2022 Paper 11
- 10.30
  May June 2022 Paper 12
- 10.31
  May June 2022 Paper 13
- 10.32
  May June 2022 Paper 41
- 10.33
  May June 2022 Paper 42
- 10.34
  May June 2022 Paper 43
- 10.35
  Feb March 2022 Paper 12
- 10.36
  Feb March 2022 Paper 42
- 10.37
  October November 2022 Paper 11
- 10.38
  October November 2022 Paper 12
- 10.39
  October November 2022 Paper 13
- 10.40
  October November 2022 Paper 41
- 10.41
  October November 2022 Paper 42
- 10.42
  October November 2022 Paper 43
- 10.43
  May June 2023 Paper 11
- 10.44
  May June 2023 Paper 12
- 10.45
  May June 2023 Paper 13
- 10.46
  May June 2023 Paper 41
- 10.47
  May June 2023 Paper 42
- 10.48
  May June 2023 Paper 43
- 10.49
  Feb March 2023 Paper 12
- 10.50
  Feb March 2023 Paper 22
- 10.51
  October November 2023 Paper 11
- 10.52
  October November 2023 Paper 12
- 10.53
  October November 2023 Paper 13
- 10.54
  October November 2023 Paper 41
- 10.55
  October November 2023 Paper 42
- 10.56
  October November 2023 Paper 43
- 10.57
  May June 2024 Paper 11
- 10.58
  May June 2024 Paper 12
- 10.59
  May June 2024 Paper 13
- 10.60
  May June 2024 Paper 41
- 10.61
  May June 2024 Paper 42
- 10.62
  May June 2024 Paper 43
- 10.63
  Feb March 2024 Paper 12
- 10.64
  Feb March 2024 Paper 42
- 10.65
  October November 2024 Paper 11
- 10.66
  October November 2024 Paper 12
- 10.67
  October November 2024 Paper 13
- 10.68
  October November 2024 Paper 41
- 10.69
  October November 2024 Paper 42
- 10.70
  October November 2024 Paper 43
- 10.71
  May June 2025 Paper 11
- 10.72
  May June 2025 Paper 12
- 10.73
  May June 2025 Paper 13
- 10.74
  May June 2025 Paper 41
- 10.75
  May June 2025 Paper 42
- 10.76
  May June 2025 Paper 43
- 10.77
  Feb March 2025 Paper 12
- 10.78
  Feb March 2025 Paper 22
- 10.79
  October November 2025 Paper 11
- 10.80
  October November 2025 Paper 12
- 10.81
  October November 2025 Paper 13
- 10.82
  October November 2025 Paper 41
- 10.83
  October November 2025 Paper 42
- 10.84
  October November 2025 Paper 43
Notes (Rearranged Version)
Notes Arranged In A Different Style For Preparation Ease
14
- 11.1
  Quadratics and Quadratic Equations
- 11.2
  Functions
- 11.3
  Trigonometry
- 11.4
  Circular Measure
- 11.5
  Coordinate Geometry
- 11.6
  Velocity and Acceleration
- 11.7
  Force and Motion
- 11.8
  Vertical Motion
- 11.9
  Resolving Forces
- 11.10
  Friction
- 11.11
  Connected Particles
- 11.12
  Work, Energy and Power
- 11.13
  Momentum
- 11.14
  General Motion in a Straight Line
Videos Lectures (Pre-Recorded)
Videos Recorded In A Different Style For Preparation Ease
0
Formulae Sheets
0
Cheat Sheets
Short, Quick Revision Cheat Sheets
56
- 14.1
  Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 14.2
  Quadratics: Find The Discriminant Of A Quadratic Polynomial ax² + bx + c And Use The Discriminant
- 14.3
  Quadratics: Solve Quadratic Equations, And Quadratic Inequalities, In One Unknown
- 14.4
  Quadratics: Solve By Substitution A Pair Of Simultaneous Equations Of Which One Is Linear And One Is Quadratic
- 14.5
  Quadratics: Recognise And Solve Equations In x Which Are Quadratic In Some Function Of x
- 14.6
  Functions: Understand The Terms Function, Domain, Range, One-One Function, Inverse Function And Composition Of Functions
- 14.7
  Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 14.8
  Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 14.9
  Functions: Illustrate In Graphical Terms The Relation Between A One-One Function And Its Inverse
- 14.10
  Functions: Understand And Use The Transformations Of The Graph Of y = f(x) Given By y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) And Simple Combinations Of These
- 14.11
  Coordinate Geometry: Find The Equation Of A Straight Line Given Sufficient Information
- 14.12
  Coordinate Geometry: Interpret And Use Any Of The Forms y = mx + c, y – y₁ = m(x – x₁), ax + by + c = 0 In Solving Problems
- 14.13
  Coordinate Geometry: Understand That The Equation (x – a)² + (y – b)² = r² Represents The Circle With Centre (a, b) And Radius r
- 14.14
  Coordinate Geometry: Use Algebraic Methods To Solve Problems Involving Lines And Circles
- 14.15
  Coordinate Geometry: Understand The Relationship Between A Graph And Its Associated Algebraic Equation, And Use The Relationship Between Points Of Intersection Of Graphs And Solutions Of Equations
- 14.16
  Circular Measure: Understand The Definition Of A Radian, And Use The Relationship Between Radians And Degrees
- 14.17
  Circular Measure: Use The Formulae s = rθ And A = ½r²θ In Solving Problems Concerning The Arc Length And Sector Area Of A Circle
- 14.18
  Trigonometry: Sketch And Use Graphs Of The Sine, Cosine And Tangent Functions (For Angles Of Any Size, And Using Either Degrees Or Radians)
- 14.19
  Trigonometry: Use The Exact Values Of The Sine, Cosine And Tangent Of 30°, 45°, 60°, And Related Angles
- 14.20
  Trigonometry: Use The Notations sin⁻¹x, cos⁻¹x, tan⁻¹x To Denote The Principal Values Of The Inverse Trigonometric Relations
- 14.21
  Trigonometry: Use The Identities tanθ = sinθ / cosθ, sin²θ + cos²θ = 1
- 14.22
  Trigonometry: Find All The Solutions Of Simple Trigonometrical Equations Lying In A Specified Interval
- 14.23
  Series: Use The Expansion Of (a + b)ⁿ, Where n Is A Positive Integer
- 14.24
  Series: Recognise Arithmetic And Geometric Progressions
- 14.25
  Series: Use The Formulae For The nᵗʰ Term And For The Sum Of The First n Terms To Solve Problems Involving Arithmetic Or Geometric Progressions
- 14.26
  Series: Use The Condition For The Convergence Of A Geometric Progression, And The Formula For The Sum To Infinity Of A Convergent Geometric Progression
- 14.27
  Differentiation: Understand The Gradient Of A Curve At A Point As The Limit Of The Gradients Of A Suitable Sequence Of Chords, And Use The Notations f′(x), f″(x), dy/dx, d²y/dx² For First And Second Derivatives
- 14.28
  Differentiation: Use The Derivative Of xⁿ (For Any Rational n), Together With Constant Multiples, Sums And Differences Of Functions, And Of Composite Functions Using The Chain Rule
- 14.29
  Differentiation: Apply Differentiation To Gradients, Tangents And Normals, Increasing And Decreasing Functions And Rates Of Change
- 14.30
  Differentiation: Locate Stationary Points And Determine Their Nature, And Use Information About Stationary Points In Sketching Graphs
- 14.31
  Integration: Understand Integration As The Reverse Process Of Differentiation, And Integrate (ax + b)ⁿ (For Any Rational n Except –1), Together With Constant Multiples, Sums And Differences
- 14.32
  Integration: Solve Problems Involving The Evaluation Of A Constant Of Integration
- 14.33
  Integration: Evaluate Definite Integrals
- 14.34
  Integration: Use Definite Integration To Find
- 14.35
  Forces And Equilibrium: Identify The Forces Acting In A Given Situation
- 14.36
  Forces And Equilibrium: Understand The Vector Nature Of Force, And Find And Use Components And Resultants
- 14.37
  Forces And Equilibrium: Use The Principle That, When A Particle Is In Equilibrium, The Vector Sum Of The Forces Acting Is Zero, Or Equivalently, That The Sum Of The Components In Any Direction Is Zero
- 14.38
  Forces And Equilibrium: Understand That A Contact Force Between Two Surfaces Can Be Represented By Two Components, The Normal Component And The Frictional Component
- 14.39
  Forces And Equilibrium: Use The Model Of A ‘Smooth’ Contact, And Understand The Limitations Of This Model
- 14.40
  Forces And Equilibrium: Understand The Concepts Of Limiting Friction And Limiting Equilibrium, Recall The Definition Of Coefficient Of Friction, And Use The Relationship F = μR Or F ≤ μR, As Appropriate
- 14.41
  Forces And Equilibrium: Use Newton’s Third Law
- 14.42
  Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 14.43
  Kinematics Of Motion In A Straight Line: Sketch And Interpret Displacement–Time Graphs And Velocity–Time Graphs, And In Particular Appreciate
- 14.44
  Kinematics Of Motion In A Straight Line: Use Differentiation And Integration With Respect To Time To Solve Simple Problems Concerning Displacement, Velocity And Acceleration
- 14.45
  Kinematics Of Motion In A Straight Line: Use Appropriate Formulae For Motion With Constant Acceleration In A Straight Line
- 14.46
  Momentum: Use The Definition Of Linear Momentum And Show Understanding Of Its Vector Nature
- 14.47
  Momentum: Use Conservation Of Linear Momentum To Solve Problems That May Be Modelled As The Direct Impact Of Two Bodies
- 14.48
  Newton’s Laws Of Motion: Apply Newton’s Laws Of Motion To The Linear Motion Of A Particle Of Constant Mass Moving Under The Action Of Constant Forces, Which May Include Friction, Tension In An Inextensible String And Thrust In A Connecting Rod
- 14.49
  Newton’s Laws Of Motion: Use The Relationship Between Mass And Weight W = mg
- 14.50
  Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of A Particle Moving Vertically Or On An Inclined Plane With Constant Acceleration
- 14.51
  Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of Connected Particles
- 14.52
  Energy, Work And Power: Understand The Concept Of The Work Done By A Force, And Calculate The Work Done By A Constant Force When Its Point Of Application Undergoes A Displacement Not Necessarily Parallel To The Force
- 14.53
  Energy, Work And Power: Understand The Concepts Of Gravitational Potential Energy And Kinetic Energy, And Use Appropriate Formulae
- 14.54
  Energy, Work And Power: Understand And Use The Relationship Between The Change In Energy Of A System And The Work Done By The External Forces, And Use In Appropriate Cases The Principle Of Conservation Of Energy
- 14.55
  Energy, Work And Power: Use The Definition Of Power As The Rate At Which A Force Does Work, And Use The Relationship Between Power, Force And Velocity For A Force Acting In The Direction Of Motion
- 14.56
  Energy, Work And Power: Solve Problems Involving, For Example, The Instantaneous Acceleration Of A Car Moving On A Hill Against A Resistance
Practice Questions/ Practice Exams
Practice Questions/ Exams Based Both On Actual Exam Pattern And On Topical Content To Boost Preparation And Improve Performance
57
- 15.1
  Practice Questions: Quadratics: Carry Out The Process Of Completing The Square For A Quadratic Polynomial ax² + bx + c And Use A Completed Square Form
- 15.2
  Practice Questions: Quadratics: Find The Discriminant Of A Quadratic Polynomial ax² + bx + c And Use The Discriminant
- 15.3
  Practice Questions: Quadratics: Find The Discriminant Of A Quadratic Polynomial ax² + bx + c And Use The Discriminant
- 15.4
  Practice Questions: Quadratics: Solve Quadratic Equations, And Quadratic Inequalities, In One Unknown
- 15.5
  Practice Questions: Quadratics: Solve By Substitution A Pair Of Simultaneous Equations Of Which One Is Linear And One Is Quadratic
- 15.6
  Practice Questions: Quadratics: Recognise And Solve Equations In x Which Are Quadratic In Some Function Of x
- 15.7
  Practice Questions: Functions: Understand The Terms Function, Domain, Range, One-One Function, Inverse Function And Composition Of Functions
- 15.8
  Practice Questions: Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 15.9
  Practice Questions: Functions: Identify The Range Of A Given Function In Simple Cases, And Find The Composition Of Two Given Functions
- 15.10
  Practice Questions: Functions: Illustrate In Graphical Terms The Relation Between A One-One Function And Its Inverse
- 15.11
  Practice Questions: Functions: Understand And Use The Transformations Of The Graph Of y = f(x) Given By y = f(x) + a, y = f(x + a), y = af(x), y = f(ax) And Simple Combinations Of These
- 15.12
  Practice Questions: Coordinate Geometry: Find The Equation Of A Straight Line Given Sufficient Information
- 15.13
  Practice Questions: Coordinate Geometry: Interpret And Use Any Of The Forms y = mx + c, y – y₁ = m(x – x₁), ax + by + c = 0 In Solving Problems
- 15.14
  Practice Questions: Coordinate Geometry: Understand That The Equation (x – a)² + (y – b)² = r² Represents The Circle With Centre (a, b) And Radius r
- 15.15
  Practice Questions: Coordinate Geometry: Use Algebraic Methods To Solve Problems Involving Lines And Circles
- 15.16
  Practice Questions: Coordinate Geometry: Understand The Relationship Between A Graph And Its Associated Algebraic Equation, And Use The Relationship Between Points Of Intersection Of Graphs And Solutions Of Equations
- 15.17
  Practice Questions: Circular Measure: Understand The Definition Of A Radian, And Use The Relationship Between Radians And Degrees
- 15.18
  Practice Questions: Circular Measure: Use The Formulae s = rθ And A = ½r²θ In Solving Problems Concerning The Arc Length And Sector Area Of A Circle
- 15.19
  Practice Questions: Trigonometry: Sketch And Use Graphs Of The Sine, Cosine And Tangent Functions (For Angles Of Any Size, And Using Either Degrees Or Radians)
- 15.20
  Practice Questions: Trigonometry: Use The Exact Values Of The Sine, Cosine And Tangent Of 30°, 45°, 60°, And Related Angles
- 15.21
  Practice Questions: Trigonometry: Use The Notations sin⁻¹x, cos⁻¹x, tan⁻¹x To Denote The Principal Values Of The Inverse Trigonometric Relations
- 15.22
  Practice Questions: Trigonometry: Use The Identities tanθ = sinθ / cosθ, sin²θ + cos²θ = 1
- 15.23
  Practice Questions: Trigonometry: Find All The Solutions Of Simple Trigonometrical Equations Lying In A Specified Interval
- 15.24
  Practice Questions: Series: Use The Expansion Of (a + b)ⁿ, Where n Is A Positive Integer
- 15.25
  Practice Questions: Series: Recognise Arithmetic And Geometric Progressions
- 15.26
  Practice Questions: Series: Recognise Arithmetic And Geometric Progressions
- 15.27
  Practice Questions: Series: Use The Condition For The Convergence Of A Geometric Progression, And The Formula For The Sum To Infinity Of A Convergent Geometric Progression
- 15.28
  Practice Questions: Differentiation: Understand The Gradient Of A Curve At A Point As The Limit Of The Gradients Of A Suitable Sequence Of Chords, And Use The Notations f′(x), f″(x), dy/dx, d²y/dx² For First And Second Derivatives
- 15.29
  Practice Questions: Differentiation: Use The Derivative Of xⁿ (For Any Rational n), Together With Constant Multiples, Sums And Differences Of Functions, And Of Composite Functions Using The Chain Rule
- 15.30
  Practice Questions: Differentiation: Apply Differentiation To Gradients, Tangents And Normals, Increasing And Decreasing Functions And Rates Of Change
- 15.31
  Practice Questions: Differentiation: Locate Stationary Points And Determine Their Nature, And Use Information About Stationary Points In Sketching Graphs
- 15.32
  Practice Questions: Integration: Understand Integration As The Reverse Process Of Differentiation, And Integrate (ax + b)ⁿ (For Any Rational n Except –1), Together With Constant Multiples, Sums And Differences
- 15.33
  Practice Questions: Integration: Solve Problems Involving The Evaluation Of A Constant Of Integration
- 15.34
  Practice Questions: Integration: Evaluate Definite Integrals
- 15.35
  Practice Questions: Integration: Use Definite Integration To Find
- 15.36
  Practice Questions: Forces And Equilibrium: Identify The Forces Acting In A Given Situation
- 15.37
  Practice Questions: Forces And Equilibrium: Understand The Vector Nature Of Force, And Find And Use Components And Resultants
- 15.38
  Practice Questions: Forces And Equilibrium: Use The Principle That, When A Particle Is In Equilibrium, The Vector Sum Of The Forces Acting Is Zero, Or Equivalently, That The Sum Of The Components In Any Direction Is Zero
- 15.39
  Practice Questions: Forces And Equilibrium: Use The Model Of A ‘Smooth’ Contact, And Understand The Limitations Of This Model
- 15.40
  Practice Questions: Forces And Equilibrium: Understand That A Contact Force Between Two Surfaces Can Be Represented By Two Components, The Normal Component And The Frictional Component
- 15.41
  Practice Questions: Forces And Equilibrium: Understand The Concepts Of Limiting Friction And Limiting Equilibrium, Recall The Definition Of Coefficient Of Friction, And Use The Relationship F = μR Or F ≤ μR, As Appropriate
- 15.42
  Practice Questions: Forces And Equilibrium: Use Newton’s Third Law
- 15.43
  Practice Questions: Kinematics Of Motion In A Straight Line: Understand The Concepts Of Distance And Speed As Scalar Quantities, And Of Displacement, Velocity And Acceleration As Vector Quantities
- 15.44
  Practice Questions: Kinematics Of Motion In A Straight Line: Sketch And Interpret Displacement–Time Graphs And Velocity–Time Graphs, And In Particular Appreciate
- 15.45
  Practice Questions: Kinematics Of Motion In A Straight Line: Use Differentiation And Integration With Respect To Time To Solve Simple Problems Concerning Displacement, Velocity And Acceleration
- 15.46
  Practice Questions: Kinematics Of Motion In A Straight Line: Use Appropriate Formulae For Motion With Constant Acceleration In A Straight Line
- 15.47
  Practice Questions: Momentum: Use The Definition Of Linear Momentum And Show Understanding Of Its Vector Nature
- 15.48
  Practice Questions: Momentum: Use Conservation Of Linear Momentum To Solve Problems That May Be Modelled As The Direct Impact Of Two Bodies
- 15.49
  Practice Questions: Newton’s Laws Of Motion: Apply Newton’s Laws Of Motion To The Linear Motion Of A Particle Of Constant Mass Moving Under The Action Of Constant Forces, Which May Include Friction, Tension In An Inextensible String And Thrust In A Connecting Rod
- 15.50
  Practice Questions: Newton’s Laws Of Motion: Use The Relationship Between Mass And Weight W = mg
- 15.51
  Practice Questions: Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of A Particle Moving Vertically Or On An Inclined Plane With Constant Acceleration
- 15.52
  Practice Questions: Newton’s Laws Of Motion: Solve Simple Problems Which May Be Modelled As The Motion Of Connected Particles
- 15.53
  Practice Questions: Energy, Work And Power: Understand The Concept Of The Work Done By A Force, And Calculate The Work Done By A Constant Force When Its Point Of Application Undergoes A Displacement Not Necessarily Parallel To The Force
- 15.54
  Practice Questions: Energy, Work And Power: Understand The Concepts Of Gravitational Potential Energy And Kinetic Energy, And Use Appropriate Formulae
- 15.55
  Practice Questions: Energy, Work And Power: Understand And Use The Relationship Between The Change In Energy Of A System And The Work Done By The External Forces, And Use In Appropriate Cases The Principle Of Conservation Of Energy
- 15.56
  Practice Questions: Energy, Work And Power: Use The Definition Of Power As The Rate At Which A Force Does Work, And Use The Relationship Between Power, Force And Velocity For A Force Acting In The Direction Of Motion
- 15.57
  Practice Questions: Energy, Work And Power: Solve Problems Involving, For Example, The Instantaneous Acceleration Of A Car Moving On A Hill Against A Resistance
Mock Tests/ Mock Exams
Mock Exams For Final Preparation
0
Class Recordings
Class Recordings From Previous Sessions/ Current Session For Content
0
Other Material
Other Useful Material For Exams
16
- 18.1
  Formulae Sheet: Quadratics
- 18.2
  Formulae Sheet: Functions
- 18.3
  Formulae Sheet: Coordinate Geometry
- 18.4
  Formulae Sheet: Circular Measure
- 18.5
  Formulae Sheet: Trigonometry
- 18.6
  Formulae Sheet: Series
- 18.7
  Formulae Sheet: Differentiation
- 18.8
  Formulae Sheet: Integration
- 18.9
  Formulae Sheet: Forces and Equilibrium
- 18.10
  Formulae Sheet: Kinematics of Motion In A Straight Line
- 18.11
  Formulae Sheet: Momentum
- 18.12
  Formulae Sheet: Newton’s Law of Motion
- 18.13
  Formulae Sheet: Energy, Work and Power
- 18.14
  Formulae Sheet:
- 18.15
  Formula Sheet: Algebra
- 18.16
  F
Notes (Rearranged Version 2)
Notes Arranged In A Different Style For Preparation Ease
13
- 19.1
  Quadratics
- 19.2
  Functions
- 19.3
  Coordinate Geometry
- 19.4
  Circular Measure
- 19.5
  Trigonometry
- 19.6
  Series
- 19.7
  Differentiation
- 19.8
  Integration
- 19.9
  Forces And Equilibrium
- 19.10
  Kinematics of Motion In A Straight Line
- 19.11
  Momentum
- 19.12
  Newton’s Laws of Motion
- 19.13
  Energy, Work And Power
Practice Questions/ Practice Exams Version 2
Practice Questions/ Exams Based Both On Actual Exam Pattern And On Topical Content To Boost Preparation And Improve Performance Version 2
13
- 20.1
  Quadratics
- 20.2
  Functions
- 20.3
  Coordinate Geometry
- 20.4
  Circular Measure
- 20.5
  Trigonometry
- 20.6
  Series
- 20.7
  Differentiation
- 20.8
  Integration
- 20.9
  Forces and Equilibrium
- 20.10
  Kinematics of Motion In A Straight Line
- 20.11
  Momentum
- 20.12
  Newton’s Law of Motion
- 20.13
  Energy, Work and Power.
Solved Past Papers Version 2
Detailed Written Explanations And Solutions of Past Papers, Including Model Answers and Explanations For Past Paper Questions Version 2
2
- 21.1
  Detailed Solutions For Past Papers: May June 2019 12
- 21.2
  Detailed Solutions For Past Paper: May June 2019 Paper 11

Sample Quizzes For Preparation: Momentum

AS Level Mathematics – Topic 4.3: Momentum Quiz
Topic: Momentum

1. Which of the following quantities is a vector?

A. Speed
B. Mass
C. Momentum
D. Distance

2. The momentum of a body is defined as:

A. Force × distance
B. Mass × velocity
C. Mass × acceleration
D. Mass × speed

3. SI unit of momentum is:

A. N·m
B. kg·m²/s²
C. kg·m/s
D. m/s²

4. A car of mass 800 kg is moving with a velocity of 10 m/s. What is its momentum?

A. 8000 kg·m/s
B. 80 kg·m/s
C. 0.0125 kg·m/s
D. 800 kg·m/s

5. Which of the following best explains why momentum is conserved in an isolated system?

A. No energy is lost
B. No net external force acts
C. Friction is present
D. The system is open

6. A ball of mass 0.5 kg moving at 4 m/s collides with a wall and rebounds at 3 m/s. What is the change in momentum?

A. 0.5 kg·m/s
B. 3.5 kg·m/s
C. 2.0 kg·m/s
D. –3.5 kg·m/s

7. Two trolleys, one stationary and one moving, collide and move together. This is an example of:

A. Elastic collision
B. Inelastic collision
C. Explosion
D. Static equilibrium

8. In a perfectly inelastic collision:

A. Kinetic energy is conserved
B. Momentum is not conserved
C. Objects stick together after collision
D. Total energy is lost

9. Which of the following statements is true in all collisions (elastic and inelastic)?

A. Total kinetic energy is conserved
B. Momentum is conserved
C. Velocity is always conserved
D. Impulse is zero

10. A 2 kg ball moving at 5 m/s collides head-on with a 3 kg ball moving at 2 m/s in the opposite direction. What is the total initial momentum?

A. 4 kg·m/s
B. 10 kg·m/s
C. 1 kg·m/s
D. –1 kg·m/s

11. A 4 kg object moving at 3 m/s hits a stationary 2 kg object and sticks to it. What is their final velocity after collision?

A. 1 m/s
B. 2 m/s
C. 4 m/s
D. 3 m/s

12. A 1.5 kg trolley collides elastically with a 2 kg trolley at rest. Which of the following is conserved?

A. Only kinetic energy
B. Only momentum
C. Momentum and kinetic energy
D. Neither

13. What is the momentum of a 500 g object moving at 20 m/s?

A. 10 kg·m/s
B. 1 kg·m/s
C. 0.25 kg·m/s
D. 1000 kg·m/s

14. Which of the following does NOT affect the momentum of an object?

A. Speed
B. Mass
C. Temperature
D. Velocity

15. Two identical trolleys approach each other with equal speed and collide elastically. What happens after the collision?

A. They both stop
B. They stick together
C. They reverse directions
D. One stops, the other moves forward

16. What happens to the total momentum of a system if an external force acts on it?

A. It remains constant
B. It increases
C. It decreases
D. It changes

17. A rocket moves in space by:

A. Expelling air
B. Creating friction
C. Conservation of momentum
D. Earth’s gravity

18. An object with zero velocity must have:

A. Zero momentum
B. Zero mass
C. High energy
D. Maximum momentum

19. Which of the following graphs represents constant momentum?

A. Force vs. time
B. Mass vs. velocity
C. Velocity vs. time (horizontal line)
D. Position vs. time

20. A bullet of mass 0.01 kg is fired from a gun of mass 1.5 kg. If bullet’s velocity is 400 m/s, what is recoil velocity of gun?

A. –4 m/s
B. –2.67 m/s
C. –0.4 m/s
D. –5.33 m/s

21. Which physical quantity has the same units as momentum?

A. Work
B. Impulse
C. Pressure
D. Power

22. In a closed system, when a moving object explodes into two parts:

A. Momentum is not conserved
B. Each part gains energy
C. Total momentum is conserved
D. Both parts move in same direction

23. What is the direction of momentum vector?

A. Always opposite to motion
B. Same as direction of velocity
C. Same as direction of force
D. Same as direction of acceleration

24. In one-dimensional motion, the sign of momentum indicates:

A. Kinetic energy
B. Speed
C. Direction
D. Time

25. Two particles collide and move in opposite directions after collision. Which of the following must be true?

A. Kinetic energy is conserved
B. Net momentum is zero
C. Total momentum is conserved
D. Velocities are equal

26. A 5 kg object falls from 10 m height. Just before hitting the ground, its momentum is closest to:

A. 14 kg·m/s
B. 100 kg·m/s
C. 0 kg·m/s
D. 60 kg·m/s

27. What is the significance of a zero net external force in a system?

A. Momentum is conserved
B. No motion occurs
C. Energy is zero
D. Mass is constant

28. The greater the force applied on an object for a given time, the greater the:

A. Displacement
B. Speed
C. Impulse
D. Acceleration only

29. In a system where two bodies collide and stick together, the total kinetic energy:

A. Increases
B. Is conserved
C. Decreases
D. Becomes infinite

30. Momentum is conserved when:

A. Energy is lost
B. No external force acts
C. Gravity acts downward
D. The system is moving in a circle

Answer Key and Explanations

C — Momentum is a vector; it has both magnitude and direction.
B — Momentum = mass × velocity.
C — kg·m/s is the SI unit for momentum.
A — 800 × 10 = 8000 kg·m/s.
B — No net external force → conservation of momentum.
D — ∆p = m(v_final – v_initial) = 0.5(–3 – 4) = –3.5 kg·m/s.
B — Bodies stick → inelastic.
C — Inelastic → stick together.
B — Momentum is always conserved in collisions.
D — (2×5) + (3×–2) = 10 – 6 = 4 kg·m/s.
B — Use conservation: 4×3 = 6v → v = 2 m/s.
C — Both are conserved in elastic collisions.
A — 0.5 kg × 20 m/s = 10 kg·m/s.
C — Temperature does not affect momentum.
C — Perfect elastic with same mass → exchange velocities.
D — External force changes momentum.
C — Rocket propulsion = conservation of momentum.
A — p = mv → if v = 0, p = 0.
B — Mass × velocity constant → straight line in m vs. v graph.
B — Total momentum = 0 → 0.01×400 = –1.5×v → v = –2.67 m/s.
B — Impulse = ∆momentum → same units.
C — Explosion in isolated system → total momentum conserved.
B — p = mv → same direction as velocity.
C — Positive or negative → indicates direction.
C — Regardless of motion, momentum conserved.
B — v = √(2gh) = 14 m/s → p = 5×14 = 70 kg·m/s.
A — No external force → momentum conserved.
C — Impulse = F × t.
C — Some KE lost to sound, deformation, etc.
B — Conservation only if no external force.

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